168_Problem CHAPTER 9

168_Problem CHAPTER 9 - PROBLEM 9.132 A portion of an...

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PROBLEM 9.132 A portion of an 8-in.-long steel rod of diameter 1.50 in. is turned to form the conical section shown. Knowing that the turning process reduces the moment of inertia of the rod with respect to the x axis by 20 percent, determine the height h of the cone. SOLUTION 8-in. rod () 22 00 0 0 1 where 2 x I ma m V aL ρρ π == = and 0.75 in. and 8 in. = = Therefore, 4 0 1 2 x I ρπ = Rod and cone cyl cone cyl cone 13 21 0 xx x I II m a m a =+ = + where 2 cyl cyl mV a L h
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